Explore the fascinating world of regular tilings in this 26-minute video lecture from the Elementary Mathematics series. Learn about the three famous regular tilings of the plane - equilateral triangles, squares, and hexagons - and discover why these shapes are uniquely suited for tiling. Investigate the properties of regular polygons, understand the concept of maximal symmetry, and ponder the intriguing question of why regular pentagons don't tile the plane. Gain insights into the historical significance, practical applications, and mathematical beauty of these tilings, from their use in board games to their importance in various fields of study.